Fluid Confinement and Non-Abelian Gauge Dynamics in the Dark Sector: A Ternary Lattice Quantization and Landauer Bound Suppression Framework

We present a rigorous, non-singular cosmological framework where spacetime metrics and rela-tivistic gravitation emerge as macroscopic manifestations of head loss and kinetic friction derivedfrom a decelerating information-theoretic dark sector field (SH ) condensing into baryonic coordinates(SB ). Using first-principles variational principles and methodology from fluid mechanics, we showthat non-attributable energy losses within the cosmic infrastructure reflect directly onto the black-body spectrum of the Cosmic Microwave Background (CMB). To resolve ultraviolet catastrophicdivergences and the holographic data overload that collapses conventional binary representations,we project a non-Abelian SU (3) Yang-Mills field strength tensor onto a discrete manifold governedby a balanced ternary arithmetic framework T = {−1, 0, +1}. We demonstrate that these logicalstates match identically with the discrete eigenvalue spectrum of the Gell-Mann diagonal generatorλ3, where the symmetric neutral state (0) operates as a topological information sink that absorbsvalidation redundancies. Under extreme nanometric confinement shielded by monolayer graphenemechanical rigidity, this mechanism triggers a first-order ferroelectric phase transition in interfa-cial water layers, causing local dielectric collapse (ϵeff ≤ 4.0). Under a generalized non-MarkovianNakajima-Zwanzig transport regime, the self-referential memory kernel executes an exact anti-phasecancellation, completely suppressing the classical Landauer dissipation bound (∆Q → 0) withoutlocal entropy leakage.